Mathematics Homework Solutions

complex variables

See the attachment (77-7) for the problem. and you should also see the examples in section 77 in order to solve it. i also, attached section 77(example1-1 and example1-2). Thank you

complex variables

see the attachment for the problems. Thank you

Four complex variable questions (83-5, 85-5, 7, 13)

see the attachment for the problems. --- - Find the region onto which the half plane y>0... - Find the image of the quantrant x>1, y>0... - Describe geometrically the transformation w=1/(z-1). - Using the exponential formz = re^(i x theta) of z... ---- (See attached file for full problem description)

Four complex variable problems (87-4,5,6,10)

see the attachment for the problems --- - Find the bilinear transformation that maps... - Show the disposition of two linear fractional transformations... - A fixed point of transformation w = f(z)... - Show that there is only linear fractional transformation that maps... --- (See attached file for full problem descri ...continues

complex variables (88-1, 3, 89-3, 5)

See the attachment for the problems --- - transformation maps the half plane Im z>0... - finding the inverse of the transformation... - Vertical half lines... - Verify that the interior of a rectangular region... --- (See attached file for full problem description)

Two complex variable problems (90-4,7) two problems

see the attachment for the problems. --- - the image of the closed rectangular region... - principal branch of the square root... --- (See attached file for full problem description)

complex variables. (80-2, 14)

See the attachment for the problems. --- - Lef f be a function which is analytic inside... - Write and equation... --- (See attached file for full problem description)

Four complex variable problems (80-5,6, 80-10)

See the attchment for the problems. --- - Suppose the function f is analytic inside... - Determine the number of zeros... - Write f(z) - z^n and... - Any polynomial... --- (See attached file for full problem description)

complex variables. (103-4,8)

see the attachments for the problems. (See attached file for full problem description)

complex variables (118-1,5)

(See attached file for full problem description)

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